9149034240 has 360 divisors, whose sum is σ = 33180987840. Its totient is φ = 2406703104.

The previous prime is 9149034233. The next prime is 9149034253. The reversal of 9149034240 is 424309419.

9149034240 is a `hidden beast` number, since 91 + 490 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9149034195 and 9149034204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8190162 + ... + 8191278.

Almost surely, 2^9149034240 is an apocalyptic number.

9149034240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9149034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590493920).

9149034240 is an abundant number, since it is smaller than the sum of its proper divisors (24031953600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9149034240 is a wasteful number, since it uses less digits than its factorization.

9149034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9149034240 is about 95650.5841069463. The cubic root of 9149034240 is about 2091.5026425949.

The spelling of 9149034240 in words is "nine billion, one hundred forty-nine million, thirty-four thousand, two hundred forty".